9659 ÷ 9 = 1073 R2
Alright, let's work through the division of 9659 by 9 step by step.

Step 1:
9 goes into 9 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 9 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 9

Step 2:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 6 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 9

Step 3:
9 goes into 65 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 107
Subtract 63 from 65 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 9

Step 4:
9 goes into 29 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 1073
Subtract 27 from 29 to get 2.

The final result is 1073 with a remainder of 2.